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Finding the Fourth Proportional to 3,638.84, 5,451.38 and 2,153.62

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Solution

The fourth proportional to 3,638.84, 5,451.38 and 2,153.62 is: 3,226.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.84 : 5,451.38 = 2,153.62 : x
  2. Step 2: Convert to fraction form
    3,638.84/5,451.38 = 2,153.62/x
  3. Step 3: Cross multiply
    3,638.84x = 5,451.38 × 2,153.62
  4. Step 4: Simplify right side
    3,638.84x = 11,740,201.00
  5. Step 5: Solve for x
    x = 11,740,201.00/3,638.84
  6. Step 6: Final answer
    x = 3,226.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.